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Finding the Fourth Proportional to 202,859.32, 304,200.20 and 96,273.82

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Solution

The fourth proportional to 202,859.32, 304,200.20 and 96,273.82 is: 144,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,859.32 : 304,200.20 = 96,273.82 : x
  2. Step 2: Convert to fraction form
    202,859.32/304,200.20 = 96,273.82/x
  3. Step 3: Cross multiply
    202,859.32x = 304,200.20 × 96,273.82
  4. Step 4: Simplify right side
    202,859.32x = 29,286,515,298.76
  5. Step 5: Solve for x
    x = 29,286,515,298.76/202,859.32
  6. Step 6: Final answer
    x = 144,368.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.